zeroderivationthat
Zeroderivationthat is a coined term used in informal mathematical discussions to denote a derivation-like operation that is constrained to yield zero under certain conditions. It is not part of standard algebraic nomenclature, and its meaning can vary by author or context. In many uses, the phrase signals attention to the zero-output case of a derivation, rather than a specific named construction.
In classical algebra, a derivation D on an algebra A over a field K is a linear
Examples and context: the zero map D(a) = 0 on any algebra A is a derivation and thus
Relation to broader concepts: Hochschild cohomology, specifically H^1(A, M), classifies derivations modulo inner derivations. When H^1(A,
See also: derivation, zero map, Leibniz rule, Hochschild cohomology.